Certificate for #5124 ⟨a, b | aab=aa, bbbb=a

Completion settings:

[1] aab=aa

Axiom: aab=aa.

Referenced by [3].

[2] a=bbbb

Axiom: bbbb=a.

Flip LHS and RHS.

Defines rule #2.

Referenced by [3], [4].

[3] aab=bbbbbbbb

Simplify [1] aab=aa.

Reduce RHS:

[2](a)a
[2]bbbb(a)
bbbbbbbb

Referenced by [4].

[4] bbbbbbbbb=bbbbbbbb

Overlap of [3] aab=bbbbbbbb with [2] a=bbbb:

aab a

Critical pair: bbbbab=bbbbbbbb.

Reduce LHS:

[2]bbbb(a)b
bbbbbbbbb

Defines rule #1.